Question

How to get this question? the angle CBA is not 90 degree

Answer 1

`\text{Area = 7.61 cm}^2`

Step-by-step explanation:

Here, we want to find the area of triangle ABC

From what we have, we have two tangent lines coming from an external point

Mathematically, if we have two lines coming from an external point, with the two lines touching the circle at two different points, these two lines are of equal length

What this mean with respect to the situation on ground is that, AC and AB are of equal lengths

That means we have an isosceles triangle that could be re-drawn as:

Now, we proceed to get the area of the triangle

Mathematically, we have this as:

`A\text{ = }(1)/(2)* S^2*\text{ }\sin \theta`

With respect to the given case, S is one of the sides marked while theta is the angle given

`A\text{ = }(1)/(2)*6^2*\sin 25\text{ = }7.61cm^2`